Polarization of spin-1/2 particles with effective spacetime dependent masses

Abstract

Semiclassical expansion of the Wigner function for spin-1/2 fermions having an effective spacetime-dependent mass is used to analyze spin-polarization effects. The existing framework is reformulated to obtain a differential equation directly connecting the particle spin tensor with the effective mass. It reflects the conservation of the total angular momentum in a system. In general, we find that the gradients of mass act as a source of the spin polarization. Although this effect is absent for simple boost-invariant dynamics, an extension to non-boost-invariant systems displays a non-trivial dependence of the spin density on the mass indicating that the spin polarization effects may be intertwined with the phenomenon of chiral restoration.

arXiv comment5 pages, 2 figures, matches with the published version Phys. Lett. B 849 (2024) 138464

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Cited by in corpus (4)

• Resummed spin hydrodynamics from quantum kinetic theory
• Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
• Spin Polarization of $\Lambda$ hyperons from Dissipative Spin Hydrodynamics
• Second-order spin hydrodynamics from Zubarev's nonequilibrium statistical operator formalism